| 引用本文: | 傅勤.基于Jacobi方法的线性离散时间系统的迭代学习控制[J].控制理论与应用,2015,32(1):122~126.[点击复制] |
| FU Qin.Iterative learning control for linear discrete-time systems based on Jacobi method[J].Control Theory and Technology,2015,32(1):122~126.[点击复制] |
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| 基于Jacobi方法的线性离散时间系统的迭代学习控制 |
| Iterative learning control for linear discrete-time systems based on Jacobi method |
| 摘要点击 2398 全文点击 1849 投稿时间：2014-04-30 修订日期：2014-07-01 |
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| DOI编号 10.7641/CTA.2014.40386 |
| 2015,32(1):122-126 |
| 中文关键词 线性系统 学习律 迭代学习控制 Jacobi方法 |
| 英文关键词 linear systems learning scheme iterative learning control Jacobi method |
| 基金项目 国家自然科学基金项目(11371013)资助. |
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| 中文摘要 |
| 提出线性离散时间系统基于Jacobi方法的迭代学习控制问题. 通过构建线性迭代学习控制问题与线性方程组之间的联系, 将Jacobi方法引入到迭代学习控制中, 并由此构建得到迭代学习控制律. 借助于矩阵运算, 证明这种学习律能使得系统的输出跟踪误差经有限次迭代后为零. 数值例子说明了算法的可适用性.
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| 英文摘要 |
| Based on Jacobi method, the problem of iterative learning control (ILC) algorithm for linear discrete-time systems is considered. By setting up links between linear ILC problems and linear equations, the Jacobi method is introduced into the ILC framework and the iterative learning control laws are proposed. With the application of matrix operation, it is shown that the output tracking errors can equal zero after finite iterations. Numerical examples illustrate the effectiveness of the proposed method. |